2025 AMC 12B Problem 1

Below is the professionally curated solution for Problem 1 of the 2025 AMC 12B, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2025 AMC 12B solutions, or check the answer key.

All of the real AMC 8, AMC 10, AMC 12, and AIME problems in our complete solution collection are used with official legal permission of the Mathematical Association of America (MAA).

Concepts:floor and ceiling functions

Difficulty rating: 890

1.

The instructions on a 350350-gram bag of coffee beans say that proper brewing of a large mug of pour-over coffee requires 2020 grams of coffee beans. What is the greatest number of properly brewed large mugs of coffee that can be made from the coffee beans in that bag?

1616

1717

1818

1919

2020

Solution:

Each mug uses 2020 grams, and 35020=17.5.\dfrac{350}{20} = 17.5. Only complete mugs can be brewed, so the greatest number is 17.17.

Thus, the correct answer is B.

Problem 1 in Other Years